395064000 has 448 divisors, whose sum is σ = 1521561600. Its totient is φ = 100224000.

The previous prime is 395063989. The next prime is 395064029. The reversal of 395064000 is 460593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6695971 + ... + 6696029.

Almost surely, 2^395064000 is an apocalyptic number.

395064000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760780800).

395064000 is an abundant number, since it is smaller than the sum of its proper divisors (1126497600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395064000 is a wasteful number, since it uses less digits than its factorization.

395064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 395064000 is about 19876.2169438754. The cubic root of 395064000 is about 733.7630172392.

The spelling of 395064000 in words is "three hundred ninety-five million, sixty-four thousand".